GCD of 238, 632, 480, 294 Calculator

Given Input numbers are 238, 632, 480, 294

In the factoring method, we have to find the divisors of all numbers

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (238, 632, 480, 294) = 2.

Given numbers are 238, 632, 480, 294

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 238, 632, 480, 294 is 2.

Given numbers are 238, 632, 480, 294

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(238, 632) = 75208

GCD(238, 632) = ( 238 x 632 ) / 75208

= 238 / 632

= 238

Step2:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

Step3:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

So, Greatest Common Divisor of 238, 632, 480, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 334, 926, 836
• GCD of 830, 305, 158, 441
• GCD of 149, 155, 370, 133
• GCD of 252, 304, 240, 520
• GCD of 917, 736, 305, 358

Given numbers are 238, 632, 480, 294
The greatest common divisor of numbers 238, 632, 480, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 632, 480, 294 is 2.

1. What is the GCD of 238, 632, 480, 294?

GCD of given numbers 238, 632, 480, 294 is 2

2. How to calculate the greatest common divisor of 238, 632, 480, 294?

We can find the highest common divisor of 238, 632, 480, 294 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 238, 632, 480, 294 i.e 2.

3. How can I use the GCD of 238, 632, 480, 294Calculator?

Out the numbers 238, 632, 480, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.